Question

Предприниматель закупил ткань трех видов: шелк, шерсть и ситец. За шелк было уплачено 5760рублей, что составило 45% общей стоимости товара. Из суммы, уплаченной за ситец и шерсть, 20% составила стоимость ситца. Определите стоимость шерсти. (Решите, пожалуйста, мне срочно нужно)

Answer 1

1)5760*100/45=12800 это стимость  всего товара
2)12800-5760=7040 это стоимость ситца шерсти
3)7040*0,2=1408  это стоимость ситца
4)7040-1408=5632 это стоимость шерсти

Answer 2

Problem Analysis

The entrepreneur purchased three types of fabric: silk, wool, and calico. The cost of silk was 5760 rubles, which accounted for 45% of the total cost of the goods. Additionally, 20% of the combined cost of calico and wool was the cost of calico. We need to determine the cost of wool.

Solution

Let's assume the total cost of the goods is represented by the variable C. We know that the cost of silk is 45% of the total cost, so we can write the equation:

0.45C = 5760 [[1]]

We also know that the cost of calico is 20% of the combined cost of calico and wool. Let's represent the cost of wool as W and the cost of calico as S. We can write the equation:

0.2(S + W) = S [[2]]

To find the cost of wool, we need to solve equation [[2]] for W.

Solving for the Cost of Wool

Let's simplify equation [[2]]:

0.2S + 0.2W = S

Subtracting 0.2W from both sides:

0.2S = S - 0.2W

Subtracting S from both sides:

0.2S - S = -0.2W

Combining like terms:

-0.8S = -0.2W

Dividing both sides by -0.2:

4S = W [[3]]

Now we have the value of W in terms of S. We can substitute this value into equation [[1]] to find the cost of wool.

Substituting 4S for W in equation [[1]]:

0.45C = 5760

Substituting 4S for W:

0.45C = 5760

Simplifying:

0.45C = 5760

Dividing both sides by 0.45:

C = 5760 / 0.45

Calculating:

C = 12800

Now we know that the total cost of the goods is 12800 rubles. We can substitute this value into equation [[3]] to find the cost of wool.

Substituting 12800 for C in equation [[3]]:

4S = W

Substituting 12800 for C:

4S = W

Simplifying:

4S = W

Therefore, the cost of wool is 4S.

Conclusion

We have determined that the cost of wool is 4S.